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Willow tree method for European and American option pricing under variance Gamma model. (Chinese. English summary) Zbl 1463.91178

Summary: Existing methods for European and American option pricing under the variance Gamma (VG) model are quite complex and time consuming in calculation. Thus, an efficient and accurate Willow tree method is proposed in this paper. Johnson curve is used to construct the asset price nodes in the VG process and the FFT-COS method is used to calculate the transfer probability between asset price nodes. Besides, the theoretical convergence of the Willow tree method for European options is analyzed. Moreover, some numerical experiments are conducted to demonstrate the efficiency and accuracy of the proposed method.

MSC:

91G20 Derivative securities (option pricing, hedging, etc.)
60G40 Stopping times; optimal stopping problems; gambling theory
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